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Finding the Fourth Proportional to 2,740.71, 4,112.89 and 1,009.34

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Solution

The fourth proportional to 2,740.71, 4,112.89 and 1,009.34 is: 1,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.71 : 4,112.89 = 1,009.34 : x
  2. Step 2: Convert to fraction form
    2,740.71/4,112.89 = 1,009.34/x
  3. Step 3: Cross multiply
    2,740.71x = 4,112.89 × 1,009.34
  4. Step 4: Simplify right side
    2,740.71x = 4,151,278.78
  5. Step 5: Solve for x
    x = 4,151,278.78/2,740.71
  6. Step 6: Final answer
    x = 1,514.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.